Permutation groups | Finite groups | Representation theory of groups | Group theory

Burnside ring

In mathematics, the Burnside ring of a finite group is an algebraic construction that encodes the different ways the group can act on finite sets. The ideas were introduced by William Burnside at the end of the nineteenth century. The algebraic ring structure is a more recent development, due to Solomon (1967). (Wikipedia).

Video thumbnail

Rings and midules 3: Burnside ring and rings of differential operators

This lecture is part of an online course on rings and modules. We discuss a few assorted examples of rings. The Burnside ring of a group is a ring constructed form the permutation representations. The ring of differentail operators is a ring whose modules are related to differential equat

From playlist Rings and modules

Video thumbnail

LANTHANIDES - a quick definition

A quick definition of the lanthanides. Chem Fairy: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://ww

From playlist Chemistry glossary

Video thumbnail

Platinum (version 2) - Periodic Table of Videos

Newer platinum video at http://youtu.be/byzaoji_9kk Platinum nugget image permission + copyright: Heinrich Pniok... http://commons.wikimedia.org/wiki/User:Alchemist-hp

From playlist The Platinum Playlist - Periodic Videos

Video thumbnail

Linear Desface

Here we show a quick way to set up a face in desmos using domain and range restrictions along with sliders. @shaunteaches

From playlist desmos

Video thumbnail

Representation theory: Burnside's theorem

In this talk we prove Burnside's theorem, that any group whose order is of the form p^aq^b for primes p and q is solvable. We first discuss characters of the center of the group ring of G, and use this to show that a certain number related to a character value is an algebraic integer. We

From playlist Representation theory

Video thumbnail

Benjamin Böhme: The Dress splitting and equivariant commutative multiplications

The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: Workshop "Fusion systems and equivariant algebraic topology"

From playlist HIM Lectures: Junior Trimester Program "Topology"

Video thumbnail

Symphony of the Rings - Linking Rings

With some moves from Jeff McBride and Dan Harlan

From playlist My Magic

Video thumbnail

Jesper Grodal: Burnside rings in algebra and topology (Part 2)

The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: Workshop "Fusion systems and equivariant algebraic topology"

From playlist HIM Lectures: Junior Trimester Program "Topology"

Video thumbnail

Mike Hill - Real and Hyperreal Equivariant and Motivic Computations

Foundational work of Hu—Kriz and Dugger showed that for Real spectra, we can often compute as easily as non-equivariantly. The general equivariant slice filtration was developed to show how this philosophy extends from 𝐶2-equivariant homotopy to larger cyclic 2-groups, and this has some fa

From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

Video thumbnail

Regular permutation groups and Cayley graphs

Cheryl Praeger (University of Western Australia). Plenary Lecture from the 1st PRIMA Congress, 2009. Plenary Lecture 11. Abstract: Regular permutation groups are the 'smallest' transitive groups of permutations, and have been studied for more than a century. They occur, in particular, as

From playlist PRIMA2009

Video thumbnail

Halogens

Watch more videos on http://www.brightstorm.com/science/chemistry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► h

From playlist Chemistry

Video thumbnail

Vigleik Angeltveit: The Picard group of Equivariant Stable Homotopy Theory

Vigleik Angeltveit: The Picard group of Equivariant Stable Homotopy Theory and the Slice Spectral Sequence 30 September 2021 Abstract: Equivariant stable homotopy groups are usually graded on the real representation ring. But it is possible to grade them on the Picard group instead. I wi

From playlist Representation theory's hidden motives (SMRI & Uni of Münster)

Video thumbnail

Representation Theory(Repn Th) 1 by Gerhard Hiss

DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra

From playlist Group Theory and Computational Methods

Video thumbnail

Burnside's Lemma #SoME2

It's spelled 'isomorphism'!

From playlist Summer of Math Exposition 2 videos

Video thumbnail

Representation theory: Introduction

This lecture is an introduction to representation theory of finite groups. We define linear and permutation representations, and give some examples for the icosahedral group. We then discuss the problem of writing a representation as a sum of smaller ones, which leads to the concept of irr

From playlist Representation theory

Video thumbnail

ROUND FRESNEL LENS ON A STICK

http://www.greenpowerscience.com/ DEMONSTRATION MODEL OF A FRESNEL LENS PERFECT FOR FAST DEMOS

From playlist FRESNEL LENS

Video thumbnail

Stirring the Mandelbrot Set

http://code.google.com/p/mandelstir/

From playlist mandelstir

Video thumbnail

Radu Stancu: Saturation and the double Burnside ring

The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: Workshop "Fusion systems and equivariant algebraic topology"

From playlist HIM Lectures: Junior Trimester Program "Topology"

Related pages

Burnside category | Group representation | Subgroup | Character theory | Vector space | Mathematics | Homotopy | Ring (mathematics) | Representation ring | Permutation representation | Linear combination | Cartesian product | Finite group | Module (mathematics) | Disjoint union | Compact group